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Finding the Fourth Proportional to 82,285.04, 123,427.56 and 19,955

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Solution

The fourth proportional to 82,285.04, 123,427.56 and 19,955 is: 29,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,285.04 : 123,427.56 = 19,955 : x
  2. Step 2: Convert to fraction form
    82,285.04/123,427.56 = 19,955/x
  3. Step 3: Cross multiply
    82,285.04x = 123,427.56 × 19,955
  4. Step 4: Simplify right side
    82,285.04x = 2,462,996,959.80
  5. Step 5: Solve for x
    x = 2,462,996,959.80/82,285.04
  6. Step 6: Final answer
    x = 29,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.